Answer: B, C, E
Explanation:
A.
Whole number is simply any positive number that does not include a fractional or decimal part. For instance, 0, 1, 2, 3, 4, 5 and so on would be a whole number, while -3, 2.7, 9/8 will not be a whole number.
The given number is negative value and therefore does not belong to the set of whole number.
B.
Rational number is any number that can be expressed as the ratio of two integers. For instance, -1, 0, 2, 9/7, 9.88827947, -66/5, 0.333333....(could be expressed as 1/3,) 0.142857142857142857.... (142857 repeats infinitely. It might be counterintuitive but if the decimals repeat, it's a rational number as it could be expressed as a ratio of two integers, in this case, 1/7,) and so on would be a rational number, while π, e,
and other non-repeating infinite decimals(that can't be expressed as a ratio of two integers) would be irrational number.
The given number can be expressed by -19/1, which is a ratio between two integers(basically think that it's a rational number of you see a whole number.) and therefore it does belong to the set of rational numbers.
C.
Integers are whole numbers, but including negative values as well. For instance,-5, -2, -1, 0, 1, 5, 10, 11 would all be integers.
-19 is therefore a part of the set of integers.
D.
Natural numbers are whole numbers, but without including 0. For instance, 1, 5, 3, 6, 9, will all be whole numbers, while -9, 0, -3 will not.
-19 is a negative value and therefore not a natural number.
E.
Real numbers are the union of both rational numbers and irrational numbers. Refer to the explanation of part B.
-19 is indeed a real number.
F.
Refer to the explanation of part B.
-19 is not an irrational number.